Question

14(3y-5z)^3+7(3y-5z)^2​

Answer 1

=14(3y-5z)³+7(3y-5z)²

={7(3y-5z)²}{2(3y-5z) +7}

={7(9y²+25z²-30zy)}{6y-10z+7}

=(63y²+175z²-210zy) (6y-10z+7)

I hope this much will help you

Answer 2

Equation

$(14 \: (( \: 3x - 5y \: )^{3} )) \: + \: 7 \: (3x - 5y)^{2} \\ = \: 14 \: (3x - 5y)^{2} + 7 \: (3x - 5y)^{2}$

Pulling out like terms

$3.1 \: pull \: out \: (3x - 5y)^{2} \\ \: after \: pulling \: out \:we \: are \: left \: with \: (3x - 5y)^{2}(14 \: (3x - 5y) - 7 \: ( - 1)))$

Pulling out like terms

$4.1 \: pull \: out \: like \: factors \: \\ \: 42x - 70y + 7 = 7(6x - 10 + 1) \\ \: = 7(3x - 5y)^{2} \: (6x - 10y + 1)$